Re: parallel to a tabulated surface
- To: mathgroup at smc.vnet.net
- Subject: [mg84643] Re: parallel to a tabulated surface
- From: Narasimham <mathma18 at hotmail.com>
- Date: Tue, 8 Jan 2008 01:27:35 -0500 (EST)
- References: <flk264$bqh$1@smc.vnet.net> <flnj93$jr1$1@smc.vnet.net>
I don't have a uniform grid, it needs re-casting. (With uniform grid
interpolation is straightforward as you mentioned).
Narasimham
> a serious problem to compute the interpolation ...
On Jan 7, 12:50 pm, Jens-Peer Kuska <ku... at informatik.uni-leipzig.de>
wrote:
> Hi,
> the problem is, that you don't told us if your
> surface is sampled on a uniform grid or not.
> With a uniform grid you can interpolate the functions
> {x,[u,v],y[u,v],z[u,v]} with parameters u and v and compute
> the thangent vectors and the normals...
> If you don't have a uniform grid you have
> a serious problem to compute the interpolation ...
>
> Regards
> Jens
>
> Narasimham wrote:
> > On Jan 5, 2:39 pm, Jens-Peer Kuska <ku... at informatik.uni-leipzig.de>
> > wrote:
> >> Hi,
>
> >> interpolate it ?
>
> >> Regards
> >> Jens
>
> >> Narasimham wrote:
> >>> How to find (X,Y,Z) for another parallel (Bertrand) surface at
> >>> distance c from defined surface r = (x,y,z ) = f(u,v)? Finding unit
> >>> vector of del r /del u X del r /del v along normal works for closed
> >>> form surfaces, but how to handle for a surface when input is given as
> >>> a table? TIA
>
> > Let us say in a simpler case surface normals of length 0.5 are erected
> > at {x,0,1,0.1} and {y,0,1,0.1} on surface z = Sin[Pi*x]* Sin[Pi*y},
> > what procedure is to be adopted in interpolation? Regards.